3.7 Surface area = dx where 1.2 f( x) = 3.7 Now integrate to find surface area = f(x) da = %3D 1.2

Q: (0.0) (3.6) 1) Estimate the area (6.0) (8,0) [ f(x)dx 0

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Q: Find: 1. integral  ∫cos(lnx)/x2 2. integral ∫x3√1 − 2x dx 3. the average valueof…

A: 1. integral  ∫cos(lnx)/x2 2. integral ∫x3√1 − 2x dx 3. the average valueof f(x)=2−6cos(0.09(x−π)) on…

Q: Find the total differential. z = e-X tan(y)

A: Given, fx=z=e-xtany To find fx=z

Q: 2. Integrating factors found by inspection.: y(x² – y² +1}dx-x(x² – y² –1}dy = o

A: We have to solve the given differential equation.

Q: (a) 2-1 dx

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Q: the value of the integral dx 4.x(ln(9x))² 2

A: In the given question, the concept of integration is applied. Integration Integration is a method of…

Q: 1. Integrating factors found by inspection: (xy + xy)dx+(x²y²-2)dy = 0

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Q: cosh x dy + (sinh x)y = e-* dx

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Q: Find dy/dx by implicit differentiation. x*y° – y = x 6,9 dy/dx | %3D Submit Answer LARCA

A: Differentiate with respect to x.

Q: 1). § x²e5* dx (Integration by Parts)

A: ∫x2e5xdxIntegrate by parts ∫fg'=fg-∫f'gf=x2,g'=e5xf'=2x,g=e5x5=x2e5x5-∫2xe5x5dxIntegrate by parts to…

Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

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Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: Determine the average rate of change of the function y = sinx from X = 0 to x = 2 O1 2

A: The average rate of change of the function f(x) can be calculated using the formula Average rate of…

Q: Find the total differential dz ZzxeX+y

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: The given function is  y = 2x2 + 1; dx/dt = 2 centimeters per second

Q: HCH Answerr 1. Complete EACH integral (EXACT!). dx dx x' +a? Ssin' xdx= Scos' xdx = Se'dx = Ssecx dx…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: determination

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Q: (x*y3 y²ảy = 0 + 1)dx + x*z

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Q: e dx 1- e2x (integration by substiution)

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

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Q: 2. Integrate: Integration by Parts cos?x dx

A: Given : Integral cos2(x) dx

Q: Area between curves y=e^5x y=e^3x x=1

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Q: Figure out these antiderivatives. S dx /1-х2 arctan(x) dx 1+x? ( In(x))* dx 2x

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Q: Question 3 Using appropriate rules of integration, find S V1 + t² t5dt.

A: ∫xndx=xn+1n+1+C

Q: e dx (1) S. 1-e2x (integration by substiution)

A:

Q: 1 2 + y? + 1) dx + x(x-2y) dy = 0. %3D

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Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

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Q: 4. Evaluate e*dx using integration by parts.

A: Explanation and solutions is given below.....

Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

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Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

Q: find the integrating factor of (y² - x ) dx + 2ydy = 0

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Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…

A: The given function is y = cosecx - 4cosx

Q: dy cosh x dx + y sinh x = 2 cosh x sinh x

A: We will find out the required general solution.

Q: 1. Integrating factors found by inspection: (xy' +xy }dx+ (x²y² – 2dy = 0

A:

Q: a).Find  dy/dx where y=1/2 sinh (2x +1). b).Evaluate the integrals ∫4cosh(3x -ln 2)dx.

A: The following formulas are used for hyperbolic sine and cosine functions. sinh x=ex-e-x2cosh…

Q: CoSx b) F(x) = Int dt

A:

Q: ich option is an antiderivative of Sar 3x cos(-2x) dx a. 3 9.

A: We will use integration by parts to find the answer.

Q: Find the integrating factor: (2x^2+y)dx+(x^2 y-x)dy=0

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Q: Find dy/dx by implicit differentiation. tan(x − y) = y / (3 + x^2)

A: I have stated the used formulas in the solution.

Q: | by inspection: (3y° + xy kdx + (x°y² – 2}kty = 0 1. Integrating factors found

A:

Q: Find dy/dx by Implicit differentiation. x = 7 In(y-24), (0, 5) dy %3D dx Find the slope of the graph…

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Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

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Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

Q: Change the order of integration. "A/2 x + 1 3 sin(x) dy dx

A: Consider the graph:

Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…

A: Given that y=csc (x) - 4 cos(x).   ; x=π6 let’s find y1

Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: Find the relative extrema of f(x) = (x − 1) cosh x − sinh x.

A: Maxima and minima: f(x)=(x-1)coshx-sinhx f'(x)=(x-1)sinhx+coshx-coshx f'(x)=(x-1)sinhx…

Q: B. Integration by Parts 1. xcosx dx

A: We know that integration by part formula is given as  ∫uv dx = u∫vdx - ∫dudx∫vdxdx To evaluate: ∫x…

Q: Find dy/dx by implicit differentiation. VTy = x'y +33 dy/dx =

A: The given equation is xy=x7y+33.

Q: Differentiate the function y = 2 ln (cos(x)).  dy/dx =

A: